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Finding the Fourth Proportional to 5,665.95, 7,819.54 and 4,048.99

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Solution

The fourth proportional to 5,665.95, 7,819.54 and 4,048.99 is: 5,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.95 : 7,819.54 = 4,048.99 : x
  2. Step 2: Convert to fraction form
    5,665.95/7,819.54 = 4,048.99/x
  3. Step 3: Cross multiply
    5,665.95x = 7,819.54 × 4,048.99
  4. Step 4: Simplify right side
    5,665.95x = 31,661,209.59
  5. Step 5: Solve for x
    x = 31,661,209.59/5,665.95
  6. Step 6: Final answer
    x = 5,587.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.